Question

Solve this question ........!​

Answer 1

Here is your answer

Answer 2

Answer:

$\frac{(x - 1)(x - 4) + (x - 3)(x - 2)}{(x - 2)(x - 4) } = \frac{10}{3} \\ \frac{( {x} ^{2} - 5x + 4) + ( {x}^{2} - 5x + 6)}{ {x}^{2} - 6x + 8} = \frac{10}{3} \\ \frac{2 {x}^{2} - 10x + 10}{ {x}^{2} - 6x + 8} = \frac{10}{3} \\ use \: cross \: product \\ 6 {x}^{2} - 30x + 30 = 10 { x}^{2} - 60x + 80 \\ 4 {x}^{2} - 30x + 50 = 0 \\ 2(2 {x}^{2} - 15x + 25) = 0 \\ 2 {x}^{2} - 15x + 25 = 0 \\ 2 {x}^{2} - (10 + 5)x + 25 = 0 \\ 2 {x}^{2} - 10x - 5x + 25 = 0 \\ 2x(x - 5) - 5(x - 5) = 0 \\ (2x - 5)(x - 5) \\ x = \frac{5}{2} and \: x = 5 \\ hope \: it \: will \: help \: you$